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Question
If A = `[(1, 2),(2, 1)]` and B = `[(2, 1),(1, 2)]`; find A(BA)
Solution
A = `[(1, 2),(2, 1)]` and B = `[(2, 1),(1, 2)]`
BA = `[(2, 1),(1, 2)][(1, 2),(2, 1)]`
= `[(2 + 2, 1 + 4),(4 + 1, 2 + 2)]`
= `[(4, 5),(5, 4)]`
A(BA) = `[(1, 2),(2, 1)][(4, 5),(5, 4)]`
= `[(4 + 10, 5 + 8),(8 + 5, 10 + 4)]`
= `[(14, 13),(13, 14)]`
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